A New Approach on the Stability of Fractional Singular Systems With Time-Varying Delay

Abstract

In this research article, we discussed the asymptotic stability of fractional singular systems withRiemann–Liouville (RL) derivative and constructed some sufficient conditions. The proposedstability criteria are based upon the linear matrix inequalities (LMIs) approach, which can beeasily checked using meaningful Lyapunov-Krasovskii functionals. Finally, we presented twosimple numerical examples with their simulations to demonstrate the effectiveness and benefitsof the proposed method. The theoretical results obtained in this research contribute to existingones in the literature.